/* * Single-precision vector log(1+x) function. * * Copyright (c) 2022-2024, Arm Limited. * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception */ #include "v_math.h" #include "test_sig.h" #include "test_defs.h" #include "v_log1pf_inline.h" #if WANT_SIMD_EXCEPT const static struct data { uint32x4_t minus_one, thresh; struct v_log1pf_data d; } data = { .d = V_LOG1PF_CONSTANTS_TABLE, .thresh = V4 (0x4b800000), /* asuint32(INFINITY) - TinyBound. */ .minus_one = V4 (0xbf800000), }; /* asuint32(0x1p-23). ulp=0.5 at 0x1p-23. */ # define TinyBound v_u32 (0x34000000) static float32x4_t NOINLINE VPCS_ATTR special_case (float32x4_t x, uint32x4_t cmp, const struct data *d) { /* Side-step special lanes so fenv exceptions are not triggered inadvertently. */ float32x4_t x_nospecial = v_zerofy_f32 (x, cmp); return v_call_f32 (log1pf, x, log1pf_inline (x_nospecial, &d->d), cmp); } /* Vector log1pf approximation using polynomial on reduced interval. Worst-case error is 1.69 ULP: _ZGVnN4v_log1pf(0x1.04418ap-2) got 0x1.cfcbd8p-3 want 0x1.cfcbdcp-3. */ float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log1p) (float32x4_t x) { const struct data *d = ptr_barrier (&data); uint32x4_t ix = vreinterpretq_u32_f32 (x); uint32x4_t ia = vreinterpretq_u32_f32 (vabsq_f32 (x)); uint32x4_t special_cases = vorrq_u32 (vcgeq_u32 (vsubq_u32 (ia, TinyBound), d->thresh), vcgeq_u32 (ix, d->minus_one)); if (unlikely (v_any_u32 (special_cases))) return special_case (x, special_cases, d); return log1pf_inline (x, &d->d); } #else const static struct v_log1pf_data data = V_LOG1PF_CONSTANTS_TABLE; static float32x4_t NOINLINE VPCS_ATTR special_case (float32x4_t x, uint32x4_t cmp) { return v_call_f32 (log1pf, x, log1pf_inline (x, ptr_barrier (&data)), cmp); } /* Vector log1pf approximation using polynomial on reduced interval. Worst-case error is 1.63 ULP: _ZGVnN4v_log1pf(0x1.216d12p-2) got 0x1.fdcb12p-3 want 0x1.fdcb16p-3. */ float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log1p) (float32x4_t x) { uint32x4_t special_cases = vornq_u32 (vcleq_f32 (x, v_f32 (-1)), vcaleq_f32 (x, v_f32 (0x1p127f))); if (unlikely (v_any_u32 (special_cases))) return special_case (x, special_cases); return log1pf_inline (x, ptr_barrier (&data)); } #endif HALF_WIDTH_ALIAS_F1 (log1p) TEST_SIG (V, F, 1, log1p, -0.9, 10.0) TEST_ULP (V_NAME_F1 (log1p), 1.20) TEST_DISABLE_FENV_IF_NOT (V_NAME_F1 (log1p), WANT_SIMD_EXCEPT) TEST_SYM_INTERVAL (V_NAME_F1 (log1p), 0.0, 0x1p-23, 30000) TEST_SYM_INTERVAL (V_NAME_F1 (log1p), 0x1p-23, 1, 50000) TEST_INTERVAL (V_NAME_F1 (log1p), 1, inf, 50000) TEST_INTERVAL (V_NAME_F1 (log1p), -1.0, -inf, 1000)